Nolan set up the equipment shown in order to induce a current in a wire. A horizontal coil of wire on a spool is connected to 2 terminals of a meter with a needle, which can go from plus to minus. A hand holds a bar magnet oriented horizontally near the right end of the spool with the S pole toward the spool and the N pole toward the hand. Which best explains why no current is induced? The wire needs to be coiled less tightly. The wire needs to be straight, not coiled. The magnet needs to be moved through the coils of wire. The magnet needs to be held above the coils of wire.

R = 10.5

Step-by-step explanation:

Using Pythagorean theorem, we can write

(OM)^2 + 10^2 = (OR + 4)^2

Since OM = OR, let's call this segment R for brevity.

R^2 + 10^2 = (R + 4)^2

R^2 + 100 = R^2 + 8R + 16

This simplifies to

8R = 84

or R = 10.5

Answer:

Step-by-step explanation:

A. S=strawberry, C=chocolate

    S+C=14 equation 1

     2s+3c=30 equation 2

B. -2(s+c)=-2(14) multiply equation 1 by -2 to use elimination method  

   -2s+-2c=-28 modified Equation 1

    2s+ 3c=30. Equation 2

          C=2 add above two equations.

solve for s

s+c=14

s+2=14

s=12

Used elimination method since it was easier to add the two equations.

check answer by inputting s,c values in either equation.

2s+3c=30

2(12)+3(2)=30

24+6=30

30=30

9514 1404 393

Answer:

Step-by-step explanation:

Part A:

I like to use variable names that remind me what they stand for. Here, we can use s and c for the numbers of strawberry and chocolate packets, respectively. The two equations we can write based on the problem statement are ...

  2s + 3c = 30 . . . . . . . the total cost of the purchase

  s + c = 14 . . . . . . . . . . the number of items purchased

__

Part B:

Ordinarily, I would use one equation for the problem. That equation can be arrived at by substituting for s using the second equation. We choose to substitute for s so the only remaining variable is the one representing the highest-value contributor to the total cost.

  s = 14 -c

  2(14 -c) +3c = 30 . . . . substitute for s

  28 +c = 30 . . . . . . . . . simplify (notice the coefficient of c is positive)

  c = 2 . . . . . . . . . . . subtract 28

  s = 14 -2 = 12 . . . . find s using the above equation

They bought 2 packets of chocolate and 12 packets of strawberry wafers.

__

Explanation of choices

When the total purchase is n items and x of them are of one kind, then n-x is the number of the other kind. You don't need to write a second equation to figure that out. Hence the problem can be described by a single equation, such as the one highlighted above. Doing this lets you skip a variable definition and a couple of solution steps you don't really need.

The choice of variable as being the high-cost item ensures that its coefficient in the equation will be positive. Fewer errors are made when arithmetic is done with positive numbers. Again, recognizing that early on saves headaches down the line.

Getting to a generic solution

Note that the number we subtract (28) is the "would be" cost of all of the items purchased being the lowest-cost item (14 strawberry packets). This recognition can let you do the entire problem in your head. The difference between the actual cost and the "would be" cost is the result of replacing some number of the lowest-cost items with the higher-cost ones. The difference between total costs is divided by the difference in cost per item to find the number of the higher-cost item. That is the answer to all problems of this type. (30 -14(2))/(3-2) = 2 = the number of $3 packets.

Answer:

1320

Step-by-step explanation:

Rounding:

It is to the nearest 10, so the numbers would be

3210

1890

Subtracting:

3210

-1890

_____

1320

And there is your answer :D

Answer:

B)  12.5 ft

Step-by-step explanation:

set up a proportion of inches/feet equals inches/feet

let 'h' = height of sign

5.4/18 = 3.75/h

cross-multiply:

5.4h = 67.5

h = 12.5

Answer:

Step-by-step explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500

Answer:

Survey, observational study, observational study, survey

Step-by-step explanation:

I took the test

The best way to gather information for each of the scenarios are;

A team captain wants to know what his teammates eat before a match.---> Survey

A team captain wants to know who can score the most goals against the best player.--->Observational study

A team captain wants to know how praising a teammate affects that teammate's performance.--->Observational study

A team captain wants to know what other sports his teammates play.--->Survey. This is further explained below.

Generally, information gathering is simply defined as the gathering of knowledge about something allows plenty of time for the information collecting as well as preparing any appropriate financial support applications.

In conclusion, Information gathering differs as scenarios differ or as disciplines differ.

Read more about information gathering

https://brainly.com/question/14529345

#SPJ2

Answer:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

Step-by-step explanation:

The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In [tex]f(x)=\left(\frac{1}{3}\right)^x+2[/tex], as [tex]x[/tex] gets approaches [tex]-\infty[/tex], the function will approach [tex]y=\infty[/tex]. As [tex]x[/tex] approaches [tex]\infty[/tex], the function will approach [tex]y=2[/tex].

We can write this in the following format to denote these end behaviors:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

Answer:

circumference of a circle :

                      [tex]2\pi r\\[/tex] = 2 π x 6 = 12π inches

Answer:

D. x ≈ 2.60

Step-by-step explanation:

After graphing both of these equations separately, we can see that they meet at a point of x = 2.59, therefore the answer to this question would be D. Both values also seem to meet at an x value of -0.548 but it is not an option in this question, probably because the y output value is close not the same for both equations. The graphs can be seen in the attached picture below.

Answer:

D. x ≈ 2.60

Step-by-step explanation:

Plato

Answer:

Your answer should be A because that is the only one that multiplies them all by 11

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

Answer:

[tex]y =|x| - 4[/tex] is translated 3 units up

Step-by-step explanation:

Given

[tex]y =|x| - 4[/tex]

Required

The changes that makes it to: [tex]y =|x| - 1[/tex]

By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]

Next, is to calculate the units of translation (c)

Represent the old function as:

[tex]y=\left|x\right|-4 + c[/tex]

Equate y and y

[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]

Cancel out |x|

[tex]-4 + c=-1[/tex]

Solve for c

[tex]c = 4 - 1[/tex]

[tex]c = 3[/tex]

Answer:

Operations

Step-by-step explanation:

When simplifying any expression it's always important to use the order of operations to get the correct answer. A way of remembering it was BEDMASS. Which tells you which operation to go with first, and after.

Answer: X=1

Step-by-step explanation:

trust me i had this same question, thats correct

Answer:

not sure but I think its 7

Step-by-step explanation:

2+6+7+9+9+9=42

42÷6=7

Answer:

193 i think

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answer:

[tex]p(0,4)~Q(-3,0)[/tex]

Step-by-step explanation:

[tex]a) 4x+3y=12[/tex]

[tex]4(0)+3y=12[/tex]

[tex]3y=12[/tex]

[tex]y=4[/tex]

[tex]P(0,4)[/tex]

--------------

[tex]4x+3=12[/tex]

[tex]4x+3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

[tex]Q(-3,0)[/tex]

---------------------------

hope it helps...

have a great day!!!

Answer:

p(0, 4)  Q( -3 ,0)

Step-by-step explanation:

hope it helps you

Answer:

Step-by-step explanation:

1. y= 1-x² is quadratic because has the variable x to the second power

y = -x² +1 has quadratic term -x², and constant term is 1

2. y= 3x-5 +4x²

a. quadratic term is 4x² because has the variable x to the second power

b. linear term is 3x because has the variable x to the power of one

c. constant term is -5 because the variable x to the power 0 so there is no x

Answer:

0

Step-by-step explanation:

first you will need to know the negative angle identities, which show that cot(-x)=-cot(x), you can then simplify that to -(cos/sin) so when you multiply by sin(x), or sin(x)/1, the sines cancel out and you are left with -(cos(x)/1)*(1/1) so your equation is now -cos(x)=-cos(x), so when you add the cosines over, you get zero

Who is her and in what context but it takes me 40 minutes

Answer: $52.50

Step-by-step explanation:

There is only 12 months and the interest compounds yearly so I guess it is just

3500 x 1.5% = 3500 x 1.5 / 100 = 35 x 1.5 = $52.50

Rounding is not needed

Answer:

x=4

Step-by-step explanation:

Rewrite as

x-2+10=12

x=12+2-10

x=4

Answer:

From the chapter Playing with numbers

we can define derek has 2×10^2 + 7 × 10^1 + 7× +0^0

as If ABC a number then ABC can be written as 10^2A+10^1B+10^0C

Hope it helps

Step-by-step explanation:

sorry these is notr qoustoin:(

Answer:

The largest steep increase was from 1965 to 1966, while the second largest was from 1967 to 1968

Step-by-step explanation:

A) 1965 to 1966; number of accidents increased from 250 to 320.

Percentage increase = (320 - 250)/250 × 100% = 28%

B) 1967 to 1968; number of accidents increased from 300 to 370.

Percentage increase = (370 - 300)/300 × 100% = 23.33%

C) 1968 to 1969; number of accidents increased from 370 to 380.

Percentage increase = (380 - 370)/370 × 100% = 2.7%

D) 1969 to 1970; number of accidents increased from 380 to 410.

Percentage increase = (410 - 380)/380 × 100% = 7.89%

Thus;

The largest steep increase was from 1965 to 1966, while the second largest was from 1967 to 1968

Answer:

Not independent

Step-by-step explanation:

Given

See attachment for two way table

Required

Are male and favor independent?

From the table, we have:

[tex]Male = 20+15+17[/tex]

[tex]Male = 52[/tex]

[tex]Favor = 20 + 18[/tex]

[tex]Favor = 38[/tex]

[tex]Total = 20+15+17+18+12+7[/tex]

[tex]Total = 89[/tex]

Calculate P(Male)

[tex]P(Male) = \frac{Male}{Total}[/tex]

[tex]P(Male) = \frac{52}{89}[/tex]

Calculate P(Favor)

[tex]P(Favor) = \frac{Favor}{Total}[/tex]

[tex]P(Favor) = \frac{38}{89}[/tex]

Calculate P(Male and Favor)

[tex]P(Male\ and\ Favor) = \frac{Male\ and\ Favor}{Total}[/tex]

[tex]P(Male\ and\ Favor) = \frac{20}{89}[/tex]

[tex]P(Male\ and\ Favor) = 0.2247[/tex]

The events are independent is:

[tex]P(Male\ and\ Favor) =P(Male) * P(Favor)[/tex]

So, we have:

[tex]P(Male\ and\ Favor) =\frac{52}{89} * \frac{38}{89}[/tex]

[tex]P(Male\ and\ Favor) =\frac{52*38}{89*89}[/tex]

[tex]P(Male\ and\ Favor) =\frac{1976}{7921}[/tex]

[tex]P(Male\ and\ Favor) =0.2495[/tex]

By comparison:

[tex]P(Male\ and\ Favor) =0.2495[/tex] and [tex]P(Male\ and\ Favor) = 0.2247[/tex] are not equal

Hence, the events are not independent

Answer:

136

Step-by-step explanation:

(4+6+7)/(7-4) × 24

= 17/3 × 24 = 136

Answer:

Answer:136

Suzanne=4/17

Archie=6/17

Frankie=7/17

Frankie-suzanne

(7-4)/17

3/17-----24

1/17------8

Total number of sweets=17/17

=8×17=136

Answer:

m<U = 38degrees

Step-by-step explanation:

From the given diagram, <B = <U since both triangles are similar, hence;

Hence;

2y+2 = 3y-16

2y - 3y = -16 - 2

-y = -18

y = 18

Get m<U

m<U = 3y-16

m<U = 3(18) -16

m<U = 54 - 16

m<U = 38degrees